Question
Add $ \, \color{blue}{ 8n^2-2n^3 } \, $ and $ \, \color{orangered}{ 6n^3-8n^2 }$.
Answer
$$ \left( \color{blue}{8n^2-2n^3} \right) + \left( \color{orangered}{6n^3-8n^2} \right) = 4n^3 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -2n^3+8n^2 \\ Q(x) &= 6n^3-8n^2 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & -2n^3 & 8n^2 \\ \color{blue}{ + } & 6n^3 & -8n^2 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & -2n^3 & 8n^2 \\ \color{blue}{ + } & 6n^3 & -8n^2 \\ \hline & 4n^3 & \end{array} $$This page was created using
Polynomial Operations Calculator